Aquizhastenmultiple-choicequestions,withfivepossibleanswersforeach.Astudentwho is completelyunpreparedrandomlyguessestheanswerforeachquestion.Let Y denote the numberofcorrectresponses. (a) Findtheprobabilitythatthestudentsgets(i)all10,(ii)noneofthequestionscorrect. (b) Findthemeanandstandarddeviationoftheprobabilitydistributionof Y .

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Aquizhastenmultiple-choicequestions,withfivepossibleanswersforeach.Astudentwho is completelyunpreparedrandomlyguessestheanswerforeachquestion.Let Y denote the numberofcorrectresponses.

(a) Findtheprobabilitythatthestudentsgets(i)all10,(ii)noneofthequestionscorrect.

(b) Findthemeanandstandarddeviationoftheprobabilitydistributionof Y .

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